CN105786763B - A kind of generation method in the fault propagation path of device integration system network - Google Patents

A kind of generation method in the fault propagation path of device integration system network Download PDF

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CN105786763B
CN105786763B CN201610182318.5A CN201610182318A CN105786763B CN 105786763 B CN105786763 B CN 105786763B CN 201610182318 A CN201610182318 A CN 201610182318A CN 105786763 B CN105786763 B CN 105786763B
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fault propagation
fault
node
network
propagation path
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CN105786763A (en
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王艳辉
史浩
贾宁
王淑君
林帅
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Beijing Jiaotong University
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10Complex mathematical operations
    • G06F17/11Complex mathematical operations for solving equations, e.g. nonlinear equations, general mathematical optimization problems
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/10Geometric CAD
    • G06F30/18Network design, e.g. design based on topological or interconnect aspects of utility systems, piping, heating ventilation air conditioning [HVAC] or cabling

Abstract

The present invention discloses a kind of generation method in the fault propagation path of device integration system network, including:S1, build device integration system network according to device integration system, and the fault propagation pattern in network between each node is defined according to the interaction relationship of each component in the fault statistics data and system of device integration system;S2, according between each node in device integration system network and network fault propagation Model Establishment network state transfer and fault propagation path trigger probability equation;S3, according to network initial state and network state transfer and fault propagation path triggering probability equation calculate fault propagation process in network state and fault propagation path trigger probability, and combine network in each node fault propagation pattern and fault propagation stop condition generation network in all possible fault propagation path.The present invention can obtain the triggering probability in a plurality of fault propagation path and each fault propagation path at the same time, and preference policies are provided for maintenance engineering personnel selection.

Description

Method for generating fault propagation path of equipment integration system network
Technical Field
The invention relates to the technical field of equipment integration system fault path propagation. And more particularly, to a method of generating a fault propagation path of a device integration system network.
Background
As the industry develops, modern equipment becomes more complex and sophisticated, and the research on fault propagation, which is one of the contents of fault diagnosis, becomes more and more intensive. The study of fault propagation mainly includes two directions: one is an early warning system that warns when a subsystem fails and does not accurately locate the failed component. Secondly, on the premise that the early warning information is accurate, a most probable fault propagation path and the influence degree of the path on the system reliability are researched, and a theoretical basis is provided for system maintenance. Most of the current research focuses on fault location, and the research on multi-path fault propagation is less. A most probable fault propagation path can be analyzed by researching fault propagation by using a fault tree and event number method. However, these methods have limitations in that they analyze only a specific accident or event, not a system or a process.
Graph theory and Petri net can help to find out a most probable propagation path, research is less for the condition that a plurality of paths exist simultaneously, and research on each path provides convenience for maintenance of a large-scale system in practice.
Therefore, it is necessary to provide a method for generating a failure propagation path of a device integrated system network in which a plurality of failure propagation paths and a trigger probability of each failure propagation path are simultaneously considered.
Disclosure of Invention
The invention aims to provide a method for generating a fault propagation path of an equipment integration system network, which can simultaneously obtain a plurality of fault propagation paths and the triggering probability of each fault propagation path and provide a priority selection strategy for selection of maintenance engineering personnel.
In order to achieve the purpose, the invention adopts the following technical scheme:
a method for generating a fault propagation path of a device integration system network comprises the following steps:
s1, constructing an equipment integration system network according to an equipment integration system, and defining a fault propagation mode among nodes in the network according to fault statistical data of the equipment integration system and interaction relations of all parts in the system;
s2, establishing a network state transition and fault propagation path triggering probability equation according to a fault propagation mode between the equipment integration system network and each node in the network;
and S3, calculating the network state and the fault propagation path triggering probability in the fault propagation process according to the network initial state, the network state transition and the fault propagation path triggering probability equation, and generating all possible fault propagation paths in the network by combining the fault propagation mode and the fault propagation stopping condition of each node in the network.
Preferably, the fault propagation modes include a unidirectional fault propagation mode, a bidirectional fault propagation mode, a common cause fault propagation mode and a coupled fault propagation mode.
Preferably, step S2 further comprises the sub-steps of:
s2.1, defining a fault propagation correlation matrix Q:
Q=[q i,j ] n×n ,(1≤i≤n,1≤j≤n)
wherein q is i,j Is the fault propagation probability from node i to node j;
s2.2, defining a state model of a network state S:
wherein M is k =(m 1 ,m 2 ,…,m n ) T Represents the state of the network fault propagating to the kth step, m i Represents the state of node i, m i =(0,1]Indicates node i failed, m i =0 meansThe node i is normal; q k Representing a fault propagation incidence matrix when the fault propagates to the k step; b represents a node set which fails due to common cause fault propagation; t is i For a set of nodes causing a failure of a node in node set B, node set T i Is to cause node n in node set B i A failed node; elements in the column vector U represent the failure rate of each node in a normal state; column vectorThe element in (2) represents the failure rate of each node in the network after a certain node fails; f k The fault point set in the k step of fault propagation is obtained; p is k Representing the triggering probability of the fault propagation path when the fault propagates to the kth step; d k Representing the number of propagation paths in the k step of propagation; m 0 Represents the initial state of the network and has a value range of 0,1];
S2.3, establishing a network state transition and fault propagation path triggering probability equation:
wherein the operatorIs defined as follows:
operator characterIs defined as follows:
A∈R n×1 ,B∈R n×n
operator · is defined as follows:
A∈R n×n ,B∈R n×1
preferably, the fault propagation stop condition in step S3 is:
when the triggering probability of the fault propagation path is greater than or equal to a set probability threshold lambda, judging that the fault continues to propagate along the fault propagation path; otherwise, the fault is judged to stop propagating along the fault propagation path.
Preferably, when the fault propagation mode between the other node and the node i in step S3 is the common cause fault propagation mode, it is further required to determine that the fault is further propagated along the fault propagation path between the other node and the node i
The invention has the following beneficial effects:
the technical scheme of the invention can simultaneously generate a plurality of fault propagation paths in the equipment integration system network, and improves the calculation efficiency; and moreover, the trigger probability of the fault propagation path which can be obtained while the fault propagation path is obtained is beneficial to improving the efficiency of fault detection and maintenance.
Drawings
The following describes embodiments of the present invention in further detail with reference to the accompanying drawings;
fig. 1 shows a flowchart of a method for generating a failure propagation path of a device integration system network.
Fig. 2 shows a schematic diagram of a one-way fault propagation mode.
Fig. 3 shows a schematic diagram of a bi-directional fault propagation mode.
Fig. 4 shows a schematic diagram of a common cause fault propagation mode.
Fig. 5 shows a schematic diagram of a coupled fault propagation mode.
Fig. 6 shows a schematic diagram of a node failure.
Fig. 7 shows a schematic diagram of common cause fault propagation mode triggering conditions.
Fig. 8 shows a schematic diagram of an electrical network model of a traction system of a CRHX type motor train unit.
Detailed Description
In order to more clearly illustrate the present invention, the present invention is further described below with reference to preferred embodiments and the accompanying drawings. Similar components in the figures are denoted by the same reference numerals. It is to be understood by persons skilled in the art that the following detailed description is illustrative and not restrictive, and is not to be taken as limiting the scope of the invention.
As shown in fig. 1, the method for generating a failure propagation path of a device integration system network provided in this embodiment includes the following steps:
s1, constructing an equipment integration system network according to an equipment integration system, and defining a fault propagation mode among nodes in the network according to fault statistical data of the equipment integration system and interaction relations of all parts in the system;
s2, establishing a network state transition and fault propagation path triggering probability equation according to a fault propagation mode between the equipment integration system network and each node in the network;
and S3, calculating the network state and the fault propagation path triggering probability in the fault propagation process according to the network initial state, the network state transition and the fault propagation path triggering probability equation, and generating all possible fault propagation paths in the network by combining the fault propagation mode and the fault propagation stopping condition of each node in the network.
Wherein, the first and the second end of the pipe are connected with each other,
the device integration system network constructed in the step S1 is S = < N, E >, and the node set N = { N = { (N) } 1 ,n 2 ,…,n n Is a non-empty set, n i Representing network node i, and node representing a component in the system, n i Also denoted component i in the system. Set of edges is E = { E = { [ E ] 11 ,e 12 ,…,e ij },e ij Representative node n i And node n j Fault propagation relationships between, i.e. component n in the system i And component n j The fault propagation relationship between them. And obtaining a directed network graph of fault propagation among the components of the system according to the statistical analysis of the fault data.
In step S1, the failure propagation modes between nodes in the network include four types, which are: in the following steps, for the fault propagation path including the common cause fault propagation mode, such as the unidirectional fault propagation mode shown in fig. 2, the bidirectional fault propagation mode shown in fig. 3, the common cause fault propagation mode shown in fig. 4, and the coupled fault propagation mode shown in fig. 5, it is necessary to determine whether the fault propagation satisfies the conditions shown in fig. 6 and fig. 7, for example, the node n in fig. 7 is required to be enabled 4 Failure, node n needs to be satisfied 1 ,n 2 ,n 3 And simultaneously, the fault is not propagated otherwise.
Step S2 further comprises the following substeps:
s2.1, defining a fault propagation correlation matrix Q:
Q=[q i,j ] n×n ,(1≤i≤n,1≤j≤n)
wherein q is i,j Representing the probability of each edge in the network transmitting the fault for the fault transmission probability from the node i to the node j;
s2.2, state model of network state S:
wherein M is k =(m 1 ,m 2 ,…,m n ) T Represents the state of propagation of the network fault to the kth step, m i Represents the state of node i, m i =(0,1]Indicates node i failed, m i =0 represents that node i is normal; q k Representing a fault propagation incidence matrix when the fault is propagated to the k step; b represents a node set which fails due to common cause fault propagation; t is i Set of nodes T for causing node failure in set of nodes B i Is to cause node n in node set B i A failed node; u is formed by R n×1 Elements in the matrix U represent the fault rate of each node in a normal state, wherein R is the matrix and has no specific definition, and only indicates that the matrix U is a column vector; matrix (column vector)The element in (2) represents the failure rate of each node in the network after a certain node fails; f k Is a fault point set when the fault propagates the kth step; p k Representing the triggering probability of the fault propagation path when the fault propagates to the k step; d k Representing the number of propagation paths in the k step of propagation; m 0 Represents the initial state of the network and has a value range of [0,1 ]];
S2.3, establishing a network state transition and fault propagation path triggering probability equation by utilizing the petri network thought:
wherein, the operator defined in order to make the state equation conform to the characteristics of fault propagation is as follows:
operatorIs defined as follows:
operatorIs defined as follows:
A∈R n×1 ,B∈R n×n
operator · is defined as follows:
A∈R n×n ,B∈R n×1
in addition, the embodiment also defines an operator o, which is defined as follows:
is provided withThe operator o represents a parallel relationship, i.e. there are multiple propagation paths in the fault propagation simultaneously, which are output for use after the fault propagation path is generated.
The fault propagation stop conditions in step S3 are:
when the triggering probability of the fault propagation path is greater than or equal to a set probability threshold lambda, judging that the fault continues to propagate along the fault propagation path; otherwise, judging that the fault stops propagating along the fault propagation path.
Because the fault propagation process is a process with decreasing energy, the fault propagation probability between nodes decreases by orders of magnitude with the increase of the length of the propagation path, when the propagation probability is higher than a set probability threshold lambda, the fault is considered to continue to propagate, otherwise, the fault propagation is stopped. Namely:
the above condition is used as the interruption condition of each fault propagation path, and the value of λ is set according to the requirement, and can be usually set at 10 -7 -10 -9 In between.
When the fault propagation mode from the other node to the node i is the common cause fault propagation mode in the step S3, it is determined that the fault needs to be propagated continuously along the fault propagation path from the other node to the node i
The method for generating the fault propagation path of the equipment integration system network provided by the embodiment is further described below by taking a CRHX type motor train unit traction system as an example:
the method for generating the fault propagation path of the device integration system network provided by the embodiment comprises the following steps:
(1) The device integration system is divided into layers, the layers of the research objects such as a system layer, a subsystem layer and a component layer are determined, and if the research layers are different, the network models are different.
(2) And according to the fault data, carrying out statistical analysis on the interaction relation among the system components, and drawing a fault propagation network directed graph of the system by combining the given four basic fault propagation modes.
An electrical network model of a CRHX type motor train unit traction system is shown in fig. 8, in which node N = { N = 1 ,n 2 ,…,n 61 The components corresponding to the serial numbers are shown in the table 1.
TABLE 1 CRHX EMUs parts and number corresponding table
Connecting edgeRepresenting the current propagation direction, coinciding with the fault propagation direction.
Initial conditions of the network: set of initial failure points F 0 ={n 38 Neglect of n, which cannot be selected 38 Propagated node, B = { n = 54 },T 54 ={n 35 ,n 37 }。
The fault propagation correlation matrix is:
the failure probability matrix of a node is:
as can be seen from the information in FIG. 8, node n 38 Has failed, so the initial state M of the system 0 =(0 0 0 0 1 0 0 0 0 0 0 0 0) T Due to node n 38 Has failed, so the failure probability in the initial state is as follows:
the process of fault propagation is explained below:
step 1: from the equation of state transitionEach part in the formula is explained in a decomposition way.
<1>n 38 Post fault propagation to n 37 And n 39 I.e. the fault propagation selection path n 38 →n 37 Has a probability of 0.1497, path n 38 →n 39 The probability of (2) is 0.1957.
<2&gt, if the output result is known n 37 、n 39 And if the fault occurs:
P 1 =M 1 ·U=(0 0 0 0.1497 1 0.1957 0 0 0 0 0 0 0) T ·
(0.1367 0.2151 0.4283 0.2709 0.3729 0.3001 0.3791 0.2235 0.1589 0.2127 0.3125 0.1382 0.2819) T
=(0 0 0 0.0406 0.3729 0.0587 0 0 0 0 0 0 0) T
i.e. to n 37 Cause n to be 37 Probability of failure of 0.0406, propagation to n 39 Cause n to be 39 The probability of failure is 0.0587.
<3>d 1 And (2). Let λ =10 -8 Respectively judging whether the two fault propagation paths are interrupted:
the fault can continue to propagate down the two paths separately.
The second step: respectively calculate n 37 、n 39 The situation is propagated downwards. After propagation in the first step, q 1 (38,39)=0,q 1 (38, 37) =0. In addition, n 54 Needs to satisfy n 37 And n 35 At the same time, so the fault cannot propagate to n 54 Therefore, q 1 (37, 54) =0. Therefore, the number of the first and second electrodes is increased,
<1>n 39 post fault propagation to n 41 I.e. the fault propagation selection path n 39 →n 41 The probability of (2) is 0.0148.
<2&gt, if the output result is known n 41 And (3) failure, then:
P 2 =M 2 ·U=(0 0 0 0.1497 1 0.1957 0.0148 0 0 0 0 0 0) T ·
(0.1367 0.2151 0.4283 0.2709 0.3729 0.3001 0.3791 0.2235 0.1589 0.2127 0.3125 0.1382 0.2819) T
=(0 0 0 0.0406 0.3729 0.0587 0.0056 0 0 0 0 0 0) T
i.e. to n 41 Cause n to be 41 The probability of failure was 0.0056.
<3>d 2 And (2). Wherein n is 38 Is propagated to n 38 Interrupted, judging n 38 →n 39 →n 41 Whether to interrupt:
so that the fault can be at n 38 →n 39 →n 41 Continue to pass down the pathAnd (6) broadcasting.
Repeating the above steps, when the fault is propagated to n 42 →n 43 After that, the air conditioner is started to work,the fault propagation stop condition has been satisfied, so propagation stops. At this time, the fault propagation selects path n 42 →n 43 The probability of (a) is 0.000076.
The final propagation path is thusIf the output result is known n 43 In the event of a failure of the device,
then:
P 4 =M 4 ·U=(0 0 0 0.1497 1 0.1957 0.0148 0.00154 0.000076 0 0 0 0) T ·
(0.1367 0.2151 0.4283 0.2709 0.3729 0.3001 0.3791 0.2235 0.1589 0.2127 0.3125 0.1382 0.2819) T
=(0 0 0 0.0406 0.3729 0.0587 0.0056 0.000345 0.000012 0 0 0 0) T
i.e. to n 43 Cause n to be 43 The probability of failure is 0.000012. Set of points of failure F 4 ={n 37 ,n 38 ,n 39 ,n 41 ,n 42 ,n 43 }。
The final fault propagation path of the system is therefore n 38 →n 37 The probability of the path being triggered is 0.0406; n is a radical of an alkyl radical 38 →n 39 →n 41 →n 42 →n 43 The probability of this path being triggered is 0.000012.
The method for generating the fault propagation path of the device integration system network provided by the embodiment can obtain the probability of triggering a certain fault propagation path while obtaining the fault node and the path, and intuitively explains the role of the certain path in fault propagation. On the basis of converting the fault relation into a fault propagation directed graph, the path which a certain point may pass after a fault and the probability of passing the path can be rapidly obtained, and a basis is provided for maintenance and design personnel to improve the safety and reliability.
It should be understood that the above-mentioned embodiments of the present invention are only examples for clearly illustrating the present invention, and are not intended to limit the embodiments of the present invention, and it will be obvious to those skilled in the art that other variations or modifications may be made on the basis of the above description, and all embodiments may not be exhaustive, and all obvious variations or modifications may be included within the scope of the present invention.

Claims (3)

1. A method for generating a fault propagation path of a device integration system network is characterized by comprising the following steps:
s1, constructing an equipment integration system network according to an equipment integration system, and defining a fault propagation mode among nodes in the network according to fault statistical data of the equipment integration system and an interaction relation of each component in the system, wherein the fault propagation mode comprises a one-way fault propagation mode, a two-way fault propagation mode, a common cause fault propagation mode and a coupling fault propagation mode;
s2, establishing a network state transition and fault propagation path triggering probability equation according to a fault propagation mode between the equipment integration system network and each node in the network;
step S2 further comprises the following substeps:
s2.1, defining a fault propagation correlation matrix Q:
Q=[q i,j ] n×n ,(1≤i≤n,1≤j≤n)
wherein q is i,j Is the fault propagation probability from node i to node j;
s2.2, defining a state model of a network state S:
wherein M is k =(m 1 ,m 2 ,…,m n ) T To representState when network fault propagates to kth step, m i Represents the state of node i, m i =(0,1]Indicates node i failed, m i =0 represents that node i is normal; q k Representing a fault propagation incidence matrix when the fault propagates to the k step; b represents a node set which fails due to common cause fault propagation; t is a unit of i For a set of nodes causing a failure of a node in node set B, node set T i Is the element(s) causing node n in node set B i A failed node; elements in the column vector U represent the failure rate of each node in a normal state; column vectorThe element in (1) represents the failure rate of each node in the network after a certain node fails; f k Is a fault point set when the fault propagates the kth step; p is k Representing the triggering probability of the fault propagation path when the fault propagates to the kth step; d k Representing the number of propagation paths in the k step of propagation; m is a group of 0 Represents the initial state of the network and has a value range of [0,1 ]];
S2.3, establishing a network state transition and fault propagation path triggering probability equation:
wherein the operatorIs defined as follows:
operator characterIs defined as follows:
A∈R n×1 ,B∈R n×n
operator · is defined as follows:
A∈R n×n ,B∈R n×1
and S3, calculating the network state and the fault propagation path triggering probability in the fault propagation process according to the network initial state, the network state transition and the fault propagation path triggering probability equation, and generating all possible fault propagation paths in the network by combining the fault propagation mode and the fault propagation stopping condition of each node in the network.
2. The method for generating a fault propagation path of a device integration system network according to claim 1, wherein the fault propagation stop condition in step S3 is:
when the trigger probability of the fault propagation path is greater than or equal to a set probability threshold lambda, judging that the fault continues to propagate along the fault propagation path; otherwise, the fault is judged to stop propagating along the fault propagation path.
3. The method for generating the fault propagation path of the device integration system network according to claim 1 or 2, wherein, when the fault propagation mode between the other node and the node i is the common cause fault propagation mode in step S3, it is determined that it is still required to satisfy that the fault continues to propagate along the fault propagation path between the other node and the node i
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